7th Grade Math

310 Proportions and Similarity

Practice

Chapter Test

Find each unit rate. Round to the nearest

hundredth if necessary.

1. 24 greeting cards for $4.80


2. 330 miles on 15 gallons of gas


3. 112 feet in 2.8 seconds


4. MULTIPLE CHOICE At Flynn’s Apple
   Orchard, 16 acres of land produced
   368 bushels of apples. Which rate
   represents the number of bushels
   per acre?
   A. 16 : 1 C. 23 : 2
   B. 23 : 1 D. 46 : 1


5. MEASUREMENT Nick rides his bike 20 miles
   every two days. Is the distance Nick rides
   proportional to the number of days? Explain.

Solve each proportion.

6. a^3 = ^9
   12
   7. ^53 = ^20 y


7. _ 32 = x
   42
   9. 21 t = _^15
   14


8. FOOD Of the 30 students in a life skills
   class, 19 like to cook main dishes, 15 like
   to bake desserts, and 7 like to do both.
   How many students like to cook main
   dishes but not bake desserts? Use the
   draw a diagram strategy.

Each pair of polygons is similar. Write a

proportion to find each missing measure.

Then solve.

11.

5 2 10 x

12.

3 4.5

6

a

13. MULTIPLE CHOICE On a map, 1 inch = 7.5
    miles. How many miles does 2.5 inches
    represent?
    F. _^1
    3
    H. 10
    G. 3 I. 18.75


14. BLUEPRINTS Use the following scale
    drawing of a room.

Key

1 cm = 2.5 m

a. Use a centimeter ruler to find the length

of the wall with two windows.

b. How wide would a 1.4-meter-wide

dresser appear on this drawing?

15. EXTENDED RESPONSE Layla is training
    for a marathon. Each week she runs
    about 40 miles. Her coach gave her a
    diagram of the route he would like her
    to run.
    1 inch = 0.5 miles

1 in.

2.5 in.

1.5 in.

3 in.

Part A How many inches is the route on

the diagram?

Part B How many miles will Layla run

in one loop of the route?

Part C How many times per week will

she need to complete the loop to run at

least 40 miles?

306_310_C05_SGR_895130.indd 310 12/29/09 1:08 PM